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Analysis of Variance (ANOVA)

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Now · 4.1 One-Way ANOVA

4.1 One-Way ANOVA

Compare means of

k

groups:

y_{ij} = \mu + \alpha_i + \varepsilon_{ij}

Hypothesis:

H_0: \alpha_1 = \cdots = \alpha_k = 0

H_1

: at least one

\alpha_i \neq 0

Source	SS	df	MS	F
Treatment	$SS_{trt}$	$k-1$	$MS_{trt}$	$MS_{trt}/MS_{err}$
Error	$SS_{err}$	$n-k$	$MS_{err}$
Total	$SS_{tot}$	$n-1$

y_{ijk} = \mu + \alpha_i + \beta_j + (\alpha\beta)_{ij} + \varepsilon_{ijk}

Tests: main effects of factor A, factor B, and their interaction. Join Discord PreviousHypothesis TestingNextModel Diagnostics